A nucleus represented by the symbol \({}_{Z}^{A}\mathrm{X}\) has:
1. \(Z\) protons and \(A-Z\) neutrons
2. \(Z\) protons and \(A\) neutrons
3. \(A\) protons and \(Z-A\) neutrons
4. \(Z\) neutrons and \(A-Z\) protons
Subtopic:  Nuclear Binding Energy |
 91%
From NCERT
AIPMT - 2004
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The mass number of a nucleus is:

1. always less than its atomic number.
2. always more than its atomic number.
3. sometimes equal to its atomic number.
4. sometimes less than and sometimes more than its atomic number.
Subtopic:  Nuclear Binding Energy |
 56%
From NCERT
AIPMT - 2003
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Which of the following pairs of nuclei are isotones?
1. \({}_{34}^{74}\mathrm{Se}, {}_{31}^{71}\mathrm{Ca}\) 2. \({}_{42}^{92}\mathrm{Mo}, {}_{40}^{92}\mathrm{Zr}\)
3. \({}_{38}^{81}\mathrm{Sr}, {}_{38}^{86}\mathrm{Sr}\) 4. \({}_{20}^{40}\mathrm{Ca}, {}_{16}^{32}\mathrm{S}\)
Subtopic:  Nuclear Binding Energy |
 86%
From NCERT
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The mass of an α-particle is:

1. less than the sum of masses of two protons and two neutrons.
2. equal to the mass of four protons.
3. equal to the mass of four neutrons.
4. equal to the sum of masses of two protons and two neutrons.
Subtopic:  Nuclear Binding Energy |
 57%
From NCERT
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The binding energies of the nuclei \(A\) and \(B\) are \(E_a\) and \(E_b\) respectively. If three atoms of the element \(B\) fuse to give one atom of element \(A\) and an energy \(Q\) is released, then \(E_a, E_b\) and \(Q\) are related as:
1. \(E_a-3E_b= Q\)
2. \(3E_b-E_a= Q\)
3. \(E_a+ 3E_b=Q\)
4. \(E_b+ 3E_a=Q\)

Subtopic:  Nuclear Binding Energy |
 70%
From NCERT
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The mass of a \({}_{3}^{7}\mathrm{Li}\) nucleus is \(0.042\) u less than the sum of the masses of all its nucleons. The binding energy per nucleon of the \({}_{3}^{7}\mathrm{Li}\) nucleus is near:
1. \(4.6\) MeV
2. \(5.6\) MeV
3. \(3.9\) MeV
4. \(23\) MeV

Subtopic:  Nuclear Binding Energy |
 73%
From NCERT
AIPMT - 2010
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If in a nuclear fusion process. the masses of the fusing nuclei be \(m_1\) and \(m_2\) and the mass of the resultant nucleus be \(m_3,\) then:
1. \( m_3=\left|m_1-m_2 \right|\) 2. \( m_3<\left ( m_1+m_2 \right ) \)
3. \( m_3>\left ( m_1+m_2 \right ) \) 4. \( m_3=\left ( m_1+m_2 \right ) \)
Subtopic:  Nuclear Binding Energy |
 79%
From NCERT
AIPMT - 2004
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The mass of a proton is \(1.0073\) u and that of a neutron is \(1.0087\) u (u = atomic mass unit). The binding energy of \({}_{2}^{4}\mathrm{He}\) is: (Given: helium nucleus mass ≈ \(4.0015\) u)
1. \(0.0305\) J 2. \(0.0305\) erg
3. \(28.4\) MeV 4. \(0.061\) u
Subtopic:  Nuclear Binding Energy |
 77%
From NCERT
AIPMT - 2003
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Binding energy per nucleon of a fixed nucleus \({}^{A}\mathrm{X}\) is \(8\) MeV. It absorbs a neutron moving with kinetic energy \(4\) MeV and converts into \(Y\) emitting a photon of energy \(2\) MeV. The binding energy per nucleon of \(Y\) (in MeV) is:
1. \(\dfrac{8 A + 2}{A + 1}\) 2. \(\dfrac{8 A - 2}{A + 1}\)
3. \(\dfrac{8 A - 1}{A + 1}\) 4. \(\dfrac{8 A}{A + 1}\)
Subtopic:  Nuclear Binding Energy |
 56%
From NCERT
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A nucleus with mass number \(240\) breaks into fragments each of mass number \(120.\) The binding energy per nucleon of unfragmented nuclei is \(7.6~\text{MeV}\) while that of fragments is \(8.5~\text{MeV}.\) The total gain in the binding energy in the process is:
1. \(804~\text{MeV}\)
2. \(216~\text{MeV}\)
3. \(0.9~\text{MeV}\)
4. \(9.4~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 65%
From NCERT
NEET - 2021
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